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Finding the Fourth Proportional to 1,114.45, 1,538 and 672.50

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Solution

The fourth proportional to 1,114.45, 1,538 and 672.50 is: 928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.45 : 1,538 = 672.50 : x
  2. Step 2: Convert to fraction form
    1,114.45/1,538 = 672.50/x
  3. Step 3: Cross multiply
    1,114.45x = 1,538 × 672.50
  4. Step 4: Simplify right side
    1,114.45x = 1,034,305
  5. Step 5: Solve for x
    x = 1,034,305/1,114.45
  6. Step 6: Final answer
    x = 928.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.